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Finding the Third Proportional to 196,863.75 and 305,410.50

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Solution

The third proportional to 196,863.75 and 305,410.50 is: 473,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,863.75 : 305,410.50 = 305,410.50 : x
  2. Step 2: Convert to fraction form
    196,863.75/305,410.50 = 305,410.50/x
  3. Step 3: Cross multiply
    196,863.75x = 305,410.50 × 305,410.50
  4. Step 4: Simplify right side
    196,863.75x = 93,275,573,510.25
  5. Step 5: Solve for x
    x = 93,275,573,510.25/196,863.75
  6. Step 6: Final answer
    x = 473,807.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.